Fractions and Mixed Numbershogy Commercing eng yourStephan owns a landscaping compary. Today, he is mowing three lawns: one is 1/4 of an acre, one is of 1/2 an acre, and one is 1 1/3 acres. How many acres of lawn is Stephan going to nowtoday. Simplify your answer and write it as a mixed fraction if necessary25 acresSvendoseSotPassHold

Answers

Answer 1

We would add each of the given fraction. Thus, the number of acres that he is going to mow


Related Questions

An object is thrown from one meter above the ground. Its height (in meters) above the ground at time t (in seconds) is given by the equation h(t) =120+-167 + 1.
How long will it take for the object to reach a height of 191 meters

Answers

So I think the equation shows how many seconds it takes for the object to reach one meter. So I think you have to multiply. But first we have to solve the equation 120+(-167)+1=
-46 you also probably wondering how I got a small number if there is addition not subtraction just remember “Same signs and keep, different sign subtract” so it takes -46 seconds to get to 1 meter.

I hoped I helped! The question did confuse me a little but I hope I helped the right way.

Why are lysosomes important to the health of cells?(1 point)

Responses


They break down worn-out cell parts that are no longer needed.

They break down worn-out cell parts that are no longer needed.


They move proteins around the cell.

They move proteins around the cell.


They allow cell organelles to move freely through the cell as needed.

They allow cell organelles to move freely through the cell as needed.


They create cell boundaries and make cells rigid.

They create cell boundaries and make cells rigid.


PLEASE HELP ME!!!

Answers

Lysosomes are important to the health of cells of the following reason:

They break down worn-out cell parts that are no longer needed.

What are Lysosomes?

Lysosomes can be defined as protective organelles that contain enzymes that can be used to break down negative microorganisms that invade the body. The Lysosomes are very important to the health of cells because they protect the cells from being damaged by viruses and bacteria that can limit the growth of the body.

So, the option that explains why lysosomes are important to the health of cells is that they break down worn-out cell parts that are no longer needed. Option A is accurate.

Learn more about lysosomes here:

https://brainly.com/question/5534167

#SPJ1

The perimeter of a parallelogram is 120cm. If one of the sides is greater than the other by 10cm,
find the length of all the sides of the parallelogram

Answers

Answer:

Two of the sides are 25cm and the other two sides are 35cm.

Step-by-step explanation:

The perimeter is the distance all the way around the shape.

The shape is a parallelogram, so two sides across from each other are the same length. And the other two sides are also the same as each other. See image.

The shorter sides can be labelled x and the longer sides can be labelled x + 10. This is because the question said the long side is 10cm more than the short side.

see image.

Add up all the sides to make them equal to the perimeter. Set it equal to 120. See image.

Solve for x.

x + x+10 + x + x+10 = 120

4x + 20 = 120

Subtract 20.

4x = 100

Divide by 4.

x = 25

The short sides are 25cm and the long sides are 35cm.

Check:

25+35+25+35=

120 Check!

James can type 40 words in 20 seconds. How many words can James's type in 30 seconds?

A, 60

B, 20

C, 30

D, 25

Answers

Proportionately, in 30 seconds, James can type A, 60 words since he can type 40 words in 20 seconds.

What is a proportion?

Proportions set two ratios as equal to each other.

Proportions are the portions of a variable in another variable.

Proportions, like ratios, are stated in fractions, decimals, or percentages.

The number of words James can type in 20 seconds = 40 words

In 30 seconds, based on the above unit rate, James can type = 60 words (40/20 x 30)

Thus, based on the ratio of James' typing speed, in 30 seconds he can type 60 words.

Learn more about ratios and proportions at brainly.com/question/12024093

#SPJ1

What are the missing reasons in the proof?


50 points!

Answers

The missing reasons in the proof that shows that the triangles are congruent by SSS are:

3. Definition or parallelogram

4. Alternate interior angles theorem

5. Reflexive property of congruency

6. SSS Congruence Theorem

What is the SSS Congruence Theorem?

The SSS congruence theorem is applicable when two triangles have three pair of corresponding side lengths that are congruent to each other. The SSS congruence theorem states that they are congruent to each other. This theorem can be used in proof where it is established that the three sides of two triangles are equal to each other.

What is the Reflexive Property of Congruency?

A side is congruent to itself according to the reflexive property of congruency. This means that if two triangles share a common side, the two angles therefore have a pair of corresponding congruent sides in a proof.

Therefore, the missing reasons for the proof are explained below:

Statements                  Reasons                                          

1. AD║BC                    1. Definition or parallelogram

2. ∠ADB ≅ ∠CBD      2. Alternate interior angles theorem

3. AB║CD                   3. Definition or parallelogram

4. ∠ABD ≅ ∠CDB       4. Alternate interior angles theorem

5. DB ≅ DB                 5. Reflexive property of congruency

6. ΔABD ≅ ΔCDB       6. SSS Congruence Theorem

Learn more about SSS on:

https://brainly.com/question/25425647

#SPJ1

CorrectQuestion of Step 1 of 10.3270.3250.2070.2070.2770.2890.3160.2900.2750.2820.2780.2790.3230.3160.2090.2830.2960.2810.3060.296Copy DataAnswerm Tables НЕ КеурKeyboard ShorSeparate multiple answers with commas, if necessary.Selecting a button will replace the entered answer value(s) with the button value. If the button is not selected, the entered answer is useMean: 0.2966Median:Mode: 0.297

Answers

Median:

To find the median, we first need to sort the values from smallest to highest.

The median separates the bottom 50% from the top 50%.

In a sorted set of n elements, which n is odd, the median is the element at the position: ((n+1)/2).

If n is even, the median is given by the mean of the elements at those following positions: (n/2, (n/2)+1).

Example:

Sorted: {1,2,3}

n = 3, element at the position (3+1)/2 = 2.

So the median is 2.

Sorted: {1,2,3,4}:

n = 4, so the mean between the elements at these following positions:

n/2 = 4/2 = 2, the element at the position 2 is 2.

(n/2)+1 = (4/2)+1 = 2 + 1 = 3, the element at the position 3 is 3.

The median is 2+3/2 = 5/2 = 2.5

In this question:

We have 20 elements.

The median will be the mean between the 10th and the 11th elements of the sorted set.

Sorted set:

In an ascending way.

{0.275, 0.277, 0.278, 0.279, 0.281, 0.282, 0.283, 0.289, 0.29, 0.296, 0.296, ...}

The 10th element is 0.296

The 11th element is also 0.296

(0.296 + 0.296)/2 = 0.296

The median is 0.296

find the length of arc JL. Round to the nearest hundredth.(degrees)

Answers

Arc Length

Given a circle of radius r, the length of the arc formed by a central angle θ is given by:

[tex]L=\theta\cdot r[/tex]

We are given the central angle ∠JKL = 144° and the radius r = JK = 6 units.

The angle must be converted to radians by using the equivalence π = 180°

Thus:

[tex]\begin{gathered} \theta=144\cdot\frac{\pi}{180} \\ \theta=2.51327\text{ rad} \end{gathered}[/tex]

Calculating the arc length:

[tex]\begin{gathered} L=2.51327\cdot6 \\ L=15.08 \end{gathered}[/tex]

The length of the arc JL is 15.08 units

Write a formula for the function obtained when the graph is shifted as described.

Answers

The given function is

f(x) = x^3

Recall, if a function, f(x) is shifted c units upwards, the new function would be f(x) + c. This means that if we translate the given function 3 units upwards, the new function would be x^3 + 3

Also, if a function, f(x) is shifted d units to the left, the new function would be

f(x + d). This means that if we translate x^3 + 3 7 units to the left, the new function would be (x + 7)^3 + 3

The function is

f(x) = (x + 7)^3 + 3

The cost of providing water bottles at a high school football game is $35 for the
rental of the coolers and $0.50 per bottle of water.
A. What does $35 represent in the function for this situation?
B. What does $0.50 represent in the function for this situation?
C. Write a function for the amount 'C, in dollars, of providing b water bottles.
D. What is an appropriate domain for the function?
E. Graph the function over the appropriate domain.

Answers

Answer:

Step-by-step explanation:

A.

35 dollars represents the cost of renting the coolers (I think it's a constant since it does not say it is the cost per cooler).

B.

0.50 cent represents the cost per water bottle in the function (the coefficient in front of b, the amount of water bottles being purchased).

C.

C is the total cost.

C = 0.50b + 35

D.

I'm not sure what this is asking. Y = 0.50x + 35's domain is all real numbers but I'm not sure what it means by "appropriate domain for the function" unless the problem is using the average statistics from actual high school football games based on how many water bottles are purchased or something else.

E.

The graph would be all real numbers unless I'm wrong. Which is very possible on d and e but I think I provided the correct info on the others.

Step 1 of 2: Red the rational expression to its lowest terms 2 - 2x^2/2x^2 - 2Step 2 of 2: Find the restricted values of X, if any, for the given rational expression.

Answers

[tex]\frac{2-2x^2}{2x^2-2}[/tex]

Step1

we can factor the numerator and denominator because we have a square subtract

[tex]\begin{gathered} \frac{(\sqrt[]{2}+\sqrt[]{2}x)(\sqrt[]{2}-\sqrt[]{2}x)}{(\sqrt[]{2}x-\sqrt[]{2})(\sqrt[]{2}x+\sqrt[]{2})} \\ \\ \frac{(\sqrt[]{2}+\sqrt[]{2}x)}{\sqrt[]{2}x+\sqrt[]{2})}\cdot\frac{(\sqrt[]{2}-\sqrt[]{2}x)}{(\sqrt[]{2}x-\sqrt[]{2})} \\ \\ 1\cdot-1 \\ \\ =-1 \end{gathered}[/tex]

step 2

restricted values of X are when the denominator is 0

then

[tex]2x^2-2=0[/tex]

factor this

[tex](\sqrt[]{2}x-\sqrt[]{2})(\sqrt[]{2}x+\sqrt[]{2})=0[/tex]

and find the value of x what make each parenthesis 0

[tex]\begin{gathered} \sqrt[]{2}x-\sqrt[]{2}=0 \\ \sqrt[]{2}x=\sqrt[]{2} \\ x=1 \end{gathered}[/tex]

first restricted value is x=1

[tex]\begin{gathered} \sqrt[]{2}x+\sqrt[]{2}=0 \\ \sqrt[]{2}x=-\sqrt[]{2} \\ x=-1 \end{gathered}[/tex]

and the other restricted value is x=-1

What are the missing reasons for the proof?

URGENT

Answers

△ABD is congruent to △CDB (△ABD ≅ △CDB) under the SAS congruency condition.

What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measures, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

So, △ABD ≅ △CDB:

AD || BD (Definition of parallelogram: Given)∠ADB ≅ ∠CDB (Alernate interior angles throrem: Given)AB || CD (Definition of parallelogram)∠ABD ≅ ∠CDB (Alternate interior angles throrem)DB ≅ DB (Common line)△ABD ≅ △CDB (SAS condition)

Therefore, △ABD is congruent to △CDB (△ABD ≅ △CDB) under the SAS congruency condition.

Know more about the congruency of triangles here:

https://brainly.com/question/2938476

#SPJ13

One loaf of bread and six rolls cost $1.80. At the same prices, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost?

Answers

We have to find the price of one loaf of bread.

With the information we have, we can construct a system of equations.

Let B be the price of one loaf of bread and R the price of a roll.

Then, if one loaf of bread and six rolls cost $1.80, we can write:

[tex]B+6R=1.80[/tex]

We also know that two loaves of bread and four rolls cost $2.40, so we can write:

[tex]2B+4R=2.40[/tex]

We can solve for B with the method of elimination: we can substract the first equation from 1.5 times the second equation.

This can be express in mathematica terms as:

[tex]\begin{gathered} 1.5(2B+4R)-(B+6R)=1.5\cdot2.40-1.80 \\ 3B+6R-B-6R=3.60-1.80 \\ (3-1)B+(6-6)R=1.80 \\ 2B=1.80 \\ B=\frac{1.80}{2} \\ B=0.90 \end{gathered}[/tex]

Then, we have just calculated that the loaf of bread costs $0.90.

Answer: the cost of a loaf of bread is $0.90.

given the following system identify the type of system x+y=4x-y=6

Answers

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given system of equation

[tex]\begin{gathered} x+y=4----equation\text{ 1} \\ x-y=6-----equation\text{ 2} \end{gathered}[/tex]

STEP 2: Solve the given equation

Subtract equation 2 from equation 1

[tex]\begin{gathered} (x-x)+(y-(-y))=4-6 \\ y+y=-2 \\ 2y=-2 \\ Divide\text{ both sides by 2} \\ \frac{2y}{2}=-\frac{2}{2} \\ y=-1 \end{gathered}[/tex]

STEP 3: Solve for x

[tex]\begin{gathered} Substitute\text{ -1 for y in equation 1} \\ x+(-1)=4 \\ x-1=4 \\ x=4+1 \\ x=5 \end{gathered}[/tex]

The values of x and y are 5 and -1 respectively meaning that the system has one solution, hence the type of system of equation given is a CONSISTENT system of linear equation.

There are different types of proofs: two-column, paragraph and flow chart. Which of these type of proofs do you prefer? Why?

Answers

I prefer the two-column proof since it is the most common format in high school textbooks. One can easily find each of the steps of the proof, and one can correct any step so you can continue the next one step by step in a chronological list of them.

It is easy to audit this type of proof, and I am very comfortable using it.

During drought years, Lake Sakakawea water level lowers one inch per year. What integer represents the water level change after 8 years?

Answers

The water level change after 8 years is 8 inches if it is lowers one inch per year.

Integer representation of 8 = 1000 in binary .

A fixed-point number with the radix point placed after the least-significant bit is an integer. They differ from real numbers or floating-point numbers, where the radix point is always at the same place. You should be aware that computers handle integers and floating-point numbers differently. They are shown differently and processed differently (e.g., floating-point numbers are processed in a so-called floating-point processor). We'll talk about floating-point numbers later.

An integer is represented by a fixed number of bits in computers. Integers can be stored in 8-bit, 16-bit, 32-bit, or 64-bit formats. There are two representation techniques for integers in addition to bit-lengths:

Positive and zero integers can both be represented as unsigned integers.

Positive, negative, and zero are all represented by signed integers.

Hence , If the water level drops one inch per year for eight years, the decrease in water level will be 8 inches.

To learn more about Integer representation

https://brainly.com/question/749791

#SPJ1

can someone help me with this

Answers

The exact values of the sine of the addition and subtraction of two angles are 576 / 1105 and 264 / 1105, respectively.

How to find the exact value of the sine of the addition and the subtraction of two angles

Since angle A is in the fourth quadrant and B is in the second quadrant, then we find the following inequalities:

cos A > 0, sin A < 0

cos B < 0, sin B > 0

If we know that cos A = 13 / 85 and sin B = 12 / 13, then the missing trigonometric functions according to the fundamental trigonometric formula are:

sin A = - √(1 - cos² A)

sin A = - √[1 - (13 / 85)²]

sin A = - 84 / 85

cos B = - √(1 - sin² B)

cos B = - √[1 - (12 / 13)²]

cos B = - 5 / 13

And the exact value of the sine of the addition and subtraction of two angles is found by the following formula:

sin (A + B) = sin A · cos B + cos A · sin B

sin (A + B) = (- 84 / 85) · (- 5 / 13) + (13 / 85) · (12 / 13)

sin (A + B) = 576 / 1105

sin (A - B) = sin A · cos B - cos A · sin B

sin (A - B) = (- 84 / 85) · (- 5 / 13) - (13 / 85) · (12 / 13)

sin (A - B) = 264 / 1105

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

Decide whether it is an even function, an odd function, or neither

Answers

Given:

There are 2 graphs and 2 functions given in the question

Required:

We need to identify that which are even and which are odd

Explanation:

Even function:

f(-x) = f(x)

The graph of an even function is symmetric with respect to the y-axis.

Odd function:

f(-x) = -f(x)

The graph of an odd function is symmetric with respect to the origin

Here 1st graph is neither even nor odd function because it is not symmetric with respect to the y-axis and also not symmetric with respect to the origin

2nd graph is even because it is

1st function is neither even nor odd because

[tex]f(-x)=-6(-x)^5+7x^2=6x^5+7x^2\ne-f(x)[/tex]

2nd function is

Harrison Heights Elementary School has 3 fourth grade classrooms. Each classroom has 28 students. Howmany fourth grade students attend Harrison Heights Elementary?

Answers

Harrison Heights Elementary School has 3 fourth grade classrooms. Each classroom has 28 students.

From the given statement;

Number of four grade classrooms = 3

Number of student in each classromm = 28

So,

for total number of students in 3 four grade students = 3 x (number of student in one class)

= 3 x (28)

= 84 students

Answer : 84 students

5. Alex's friend Pablo comes
up with
an exact equation to find out how many bags he needs. Use his equation to find out how many bags will actually be needed if B=x(2x+7)+3(2x+7)+(x+4)(2x+7), where the quantity (2x + 7) equals 4. Show how you arrive at your answer.

Answers

8.5 bags will actually be needed if B=x(2x+7)+3(2x+7)+(x+4)(2x+7), where the quantity (2x + 7) equals 4

What is an Expression?

Expression: An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence.

Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

where the quantity (2x+7)=4

2x+7=4

2x=4-7

2x=-3

x=-3/2

now we are given the no. of bags needed

B=x(2x+7)+3(2x+7)+(x+4)

substitute the value of x which is found above x=-3/2

B=(-3/2)(2(-3/2)+7)+3(2(-3/2)+7)+((-3/2)+4)

B=8.5

hence 8.5 bags are needed

to learn more about Expressions visit:

brainly.com/question/28170201

#SPJ1

An order is received for 180 mL of a 2.5% solution to be prepared from diluting a 15% solution with water. How much of the stock 15% solution is needed?

a.
20 mL

b.
25 mL

c.
30 mL

d.
35 mL

Answers

We need 30 ml of the 15 percent solution to complete the order.

Here, we are given that we need to prepare 180 mL of a 2.5% solution by diluting a 15% solution with water.

the 180 ml 2.5% solution will contain-

2.5% pf 180 ml acid

= 2.5/100 × 180

= 25/1000 × 180

= 1/40 × 180

= 18/4

= 9/2

= 4.5 ml

Water in the 180 ml solution will be = 180 - 4.5 = 175.5

Now, we have say x ml of 15% solution

It must contain 4.5 ml of acid

Thus-

15% of x = 4.5

15/100 × x = 4.5

x = 4.5 × 100/15

x = 450/15

x = 30

Thus, we need 30 ml of the 15 percent solution, hence, option C.

Learn more about percentages here-

https://brainly.com/question/24304697

#SPJ1

f(x)=2x^3+6x^2-5x-3
Find (f-g)(x)

Answers

The solution to the function expression, (f - g)(x) is: D. 2x³ + 6x² - 8x + 1.

How to Subtract Functions?

To evaluate or subtract functions that has polynomials, all we simply need to do is to pair like terms together and combine them.

Given the following:

f(x) = 2x³ + 6x² – 5x – 3 and g(x) = 3x – 4

Therefore:

(f - g)(x) = f(x) - g(x)

Substitute

(2x³ + 6x² – 5x – 3) – (3x – 4)

2x³ + 6x² - 5x - 3 - 3x + 4

Combine like terms

2x³ + 6x² - 5x - 3x - 3 + 4

2x³ + 6x² - 8x + 1

Learn more about functions on:

https://brainly.com/question/14630324

#SPJ1

Complete Question:

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

Find (f - g)(x).

O A. (f - g)(x) = 2x³ + 6x² – 2x – 7

O B. (f - g)(x) = 2x³ + 6x² – 2x + 1

O c. (f - g)(x) = 2x³ + 6x² – 8x – 7

O D. (f - g)(x) = 2x³ + 6x² – 8x + 1

what is the average rate of change of the equation f(x)=x^2+3x-5 from x=2 to x=4

Answers

The formula to calculate the average rate of change is as follows:

[tex]R=\frac{f(b)-f(a)}{b-a}[/tex]

Where "a" represents the starting point and "b" the ending point.

So, a = 2 and b = 4 in this case, so we have:

[tex]\begin{gathered} a=2 \\ f(a)=f(2)=2^2+3\cdot2-5=4+6-5=5 \\ b=4 \\ f(b)=f(4)=4^2+3\cdot4-5=16+12-5=23 \end{gathered}[/tex]

Thus:

[tex]R=\frac{23-5}{4-2}=\frac{18}{2}=9[/tex]

The average rate of change is 9.

An individual borrowed 84000 at an APR of 3% which will be paid off with monthly payments of $422 for 23 years

Answers

If an individual borrowed 84000 the Starting loan principal is $84,000; Interest rate is 3%; Number of payment per year is 12 payments per year; Loan term is 23 years; Payment amount is $422.

Principal loan

a. Identifying  the starting loan principal, the interest rate, the number of payments per year, the loan term, and the payment amount.

Starting loan principal = $84,000

Interest rate =3%

Number of payment per year = 12 payments per year

Loan term = 23 years

Payment amount = $422

b. Total payment

There are 12 payments every year for 23 years, so

12 × 23 = 276

c. Total amount

Total amount 276× $422

Total amount = $116,472

d. Toward principal and interest

Toward Principal = $84,000

Toward Interest = $116,472 - $84,000

Toward Interest = $32,472

Therefore the starting loan principal is $84,000.

Learn more about principal here: https://brainly.com/question/25545513

#SPJ1

The complete question is:

An individual borrowed 84000 at an APR of 3% which will be paid off with monthly payments of $422 for 23 years

a. Identify the amount​ borrowed, the annual interest​ rate, the number of payments per​ year, the loan​ term, and the payment amount.

A. The amount borrowed is

 The annual interest rate is

 The number of payments per year is

  The loan term is

  The payment amount is

B. How many total payments does the loan​ require? What is the total amount paid over the full term of the​ loan?

C. Of the total amount​ paid, what percentage is paid toward the principal and what percentage is paid for​ interest?

The percentage paid toward the principal is

and the percentage paid for interest is:

Solve for points please

Answers

If you are looking for the triangle it is 10x10/2

use the distance formula to find the distance between the two points (-4.75,-8) and (3.25,5.5)? round to the nearest tenths?

Answers

Let the coordinates of points be,

[tex]\begin{gathered} (x_1,y_1)=\mleft(-4.75,-8\mright) \\ (x_2,y_2)=\mleft(3.25,5.5\mright) \end{gathered}[/tex]

The distance between the two points using distance formula is,

[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(3.25-(-4.75))^2_{}+(5.5-(-8))^2} \\ =\sqrt[]{8^2+13.5^2} \\ =15.7\text{ } \end{gathered}[/tex]

Therefore, distance between the two points is 15.7.

24) j(h - 9) + 2; use h=9, and j = 8

Answers

Answer:

The value of the expression at h=9 and j=8 is;

[tex]2[/tex]

Explanation:

Given the expression;

[tex]j(h-9)^3+2[/tex]

At;

[tex]\begin{gathered} h=9 \\ j=8 \end{gathered}[/tex]

substituting the given values of the variables;

[tex]\begin{gathered} j(h-9)^3+2 \\ 8(9-9)^3+2 \\ 8(0)+2 \\ =2 \end{gathered}[/tex]

Therefore, the value of the expression at h=9 and j=8 is;

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

j(h - 9) + 2

Let h=9 and j=8

8(9 - 9) + 2

Parentheses first

8(0) + 2

Multiply

0+2

Add

2

What is the slope of line AB, where the points are A (-1,5) and B (3,-1)

Answers

[tex]-\frac{3}{2}[/tex]

Explanation

Step 1

when you have 2 points of a line P1 and P2, you can easily find the slope using:

[tex]\begin{gathered} \text{slope}=m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}[/tex]

Let

P1=A=(-1,5)

P2=B=(3,-1)

Step 2

replace

[tex]\begin{gathered} \text{slope}=m=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=m=\frac{-1-5}{3-(-1)}=\frac{-6}{3+1}=\frac{-6}{4}=-\frac{3}{2} \end{gathered}[/tex]

I hope this helps you

If cos x= √2/2 and x is a fourth quadrant angle, evaluate tan x

Answers

Given that;

[tex]\begin{gathered} \cos x=\frac{\sqrt[]{2}}{2} \\ and\text{ x is a fourth angle quadrant.} \end{gathered}[/tex]

Note that cosine is positive on the fourth angle quadrant while tangent is negative.

From;

[tex]\begin{gathered} \cos x=\frac{\sqrt[]{2}}{2} \\ \text{adjacent}=\sqrt[]{2},\text{ hypotenuse= 2} \\ \text{opposite}=\text{ }\sqrt[]{2^2-(\sqrt[]{2})^2} \\ \text{opposite}=\sqrt[]{4-2} \\ \text{opposite}=\sqrt[]{2} \\ \end{gathered}[/tex]

Thus, the tangent is;

[tex]\begin{gathered} \tan x=\frac{-\sqrt[]{2}}{\sqrt[]{2}} \\ \tan x=-1 \end{gathered}[/tex]

find:For f(x) = 5x – 2 and g(2) = 4xa) (f - g)(x) =wb) (f-9)(-3) =

Answers

We have functions f and g defined as:

f(x) = 5x - 2

g(x) = 4x - 2

We can subtract both functions:

f(x) - g(x) = (5x - 2) - (4x - 2) = 5x - 2 - 4x + 2

Then:

f(x) - g(x) = x

But, by definition, we know that:

(f - g)(x) = f(x) - g(x)

Putting these together:

(f - g)(x) = x

Now, if x = -3:

(f - g)(-3) = -3

A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 2 miles to the road each day.

Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then us
this equation to find the total length of the road after the crew has worked 32 days.

Equation:

Total length of the road after 32 days: ___ miles

Answers

Answer:       456 Miles

Step-by-step explanation:

Other Questions
Describe 2 specific changes to Western European society that occurred as a result of the Plague and the impact these changes had on the people of Europe. Compare these changes to 2 changes that occurred to US society as a result of the covid 19 pandemic. Which of the following is true about correlation and causation?A. Two events that happen at the same time cannot be causallyrelated or correlated.OB. Historical narratives can be built around correlated events, but notcausal relationships.C. Studying causation provides a clearer picture of historical eventsthan studying correlation. Whats the correct answer answer asap for brainlist The population of the city of Woodville is growing in a constant rate the expression 35,000+2400 X model would real population which three statements are correct What contributed to rising tensions among industrialized nations in the years leading up to world war i?. 6. A poll was taken of 14,502 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below. Education Level Male Female Total High School or Less 3618 3117 6735 Bachelor's Degree 2860 3762 6622 Master's Degree 574 476 1050 Ph.D. 41 54 95 Total 7093 7409 14,502 A person is selected at random. Compute the following probabilities. (a) What is the probability that the selected person does not have a Ph.D.? (b) What is the probability that the selected person does not have a Master's degree? (c) What is the probability that the selected person is female or has a Master's degree? (d) What is the probability that the selected person is male or has a Ph.D.? The position of a particle is given by the vector < 3.3t2 , 3.2 , - 2.4t >. What is the magnitude of the acceleration at t=0? 1.2.1 Calculate the following for Lago 1.2.1.1 Total annual rainfall in mm. 1.2.1.2 The range in temperature 1.2.1.3 The range in rainfall One afternoon you picked 6/8 of a pound of strawberries that night you ate 3/6 of what you picked Professors at ob university must follow strict guidelines when it comes to planning and delivering course material. This is an example of low. What happened to Jay Keyworth in the 1980s with his ideas for missile launch? The sum of two numbers is 450. The larger number is 50 more than three times the smallernumber. What are the two numbers? Percent decrease of $16 to $4 Two identical metallic spheres A andB, each carrying a charge of q C, are fixed.They repel each other with a force of2x10-5 N. Another identical unchargedsphere C is made to touch A, moved totouch B, and placed halfway between Aand B. What is then the electric chargeand the electric force (in N) on eachsphere in terms of q? What is the effect on the graph of f(x) = x2 when it is transformed toh(x) = 12 13? Question 9 (5 points) (02.02 MC) Which of the following is an example of a raw material? a Apple hanging from a tree in the front yard b Cheese on a pizza made at home c Orange juice purchased at the grocery store d Deli meat for lunch sandwiches Eleni's landscaping company placed two orders. The first order was for 13 bushes and 4 trees and totaled $487. The second order was for 6 bushes and 2 trees and totaled $232. What is the price of one tree? what would be the expected outcome for a person who has a normal gene allele and an abnormal gene allele for insulin and the area around the abnormal gene allele is heavily methylated? What was the name of John Locke's theory? Find the equation of the line that is perpendicular to the line y=x-9 and passes through the point (-7,1). Write the equation in point-slope form.